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Finding the Third Proportional to 114,938 and 246,724

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Solution

The third proportional to 114,938 and 246,724 is: 529,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,938 : 246,724 = 246,724 : x
  2. Step 2: Convert to fraction form
    114,938/246,724 = 246,724/x
  3. Step 3: Cross multiply
    114,938x = 246,724 × 246,724
  4. Step 4: Simplify right side
    114,938x = 60,872,732,176
  5. Step 5: Solve for x
    x = 60,872,732,176/114,938
  6. Step 6: Final answer
    x = 529,613.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.